质环的Jordan理想上的Jordan自同构

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Jordan Automorphisms on Jordan Ideals of Prime Rings

Asma Ali¹, Mohammad Ashraf², Shakir Ali¹

1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India; 2. Department of Mathematics, Faculty of Science, King Abdul Aziz University, P.O.Box.80203, Jeddah 21589, Saudi-Arabia

Received:1900-01-01 Revised:1900-01-01 Online:2003-01-26 Published:2003-01-26

Abstract

Abstract: The present paper proves the following result : Let R be a 2-torsion free prime ring, let J be a Jordan ideal and a subring of R. If φ: R→R is an automorphism satisfying φ(u²)=φ(u)² for all u∈J, then φ(uv)=φ(u)φ(v) or φ(uv)=φ(v)φ(u) f or all u,v∈J.

Key words: prime ring, Jordan ideal, torsion free ring, homomorphism, Jordan homomorphism, Jordan automorphism

CLC Number:

O153.3

Asma Ali, Mohammad Ashraf, Shakir Ali. Jordan Automorphisms on Jordan Ideals of Prime Rings[J].J4, 2003, 41(01): 24-24.

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Jordan Automorphisms on Jordan Ideals of Prime Rings

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